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bezimeni [28]
3 years ago
15

this week Shauna practiced her saxophone for 25 minutes less than 3 times the number of minutes she practiced last week. if she

practiced m minutes last week, write an expression that represents how many minutes she practiced this week.
Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

3m - 25

Step-by-step explanation:

3m - 25 will represent how many minutes she practiced this week:

3m represents 3 times the number of minutes she practiced last week. Then, subtract 25 from this.

This will represent 25 minutes less than 3 times the number of minutes she practiced last week.

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What kind of shift does the graph have? y = -sin (x-1) from y = sin(x)
Mademuasel [1]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}
\\\\
f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\
f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}
\end{array}
\\\\
-------------------\\\\

\bf \bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{  A}}|\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\

\bf \bullet \textit{vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\left. \qquad  \right. \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\left. \qquad  \right. \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)

now, with that template in mind, let's see

\bf \begin{array}{lllll}
y=&-1sin(&1x&-1)&+0\\
&A&B&C&D
\end{array}
\\\\\\
\textit{horizontal shift of }\cfrac{C}{B}\implies \cfrac{-1}{1}\implies -1
\\\\\\
\textit{A is negative, so is flipped upside-down}
8 0
3 years ago
Domain and range of (4,-4),(2,-3),(-5,1),(4,-1)
aniked [119]

(x; y)


The domain is x.

The range is y.


Therefore

(4; -4) → x = 4; y = -4

(2;-3) → x = 2; y = -3

(-5; 1) → x = -5; y = 1

if is (-4; -1) not (4; -1) then

(-4; -1) → x = -4; y = -1


The DOMAIN = {-5; -4; 2; 4}

The RANGE = {-4; -3; -1; 1}


If is (4; -4) and (4; -1) then it is not a function.

4 0
3 years ago
Colleen recorded the type of trees in the woods near her house.She counted 20 trees and 50 maple trees.What is the experimental
natka813 [3]

Answer: The required probability is \dfrac{8}{125}

Step-by-step explanation:

Since we have given that

Number of spruce tree = 20

Number of maple tree = 50

Total trees = 70

We need to find the experimental probability that the next tree Colleen to get a spruce tree.

So, the probability would be :

(\dfrac{20}{50})^3=(\dfrac{2}{5})^3=\dfrac{8}{125}

Hence, the required probability is \dfrac{8}{125}

5 0
3 years ago
Mrs. Johnson is renting a car for vacation and plans to drive a total of 800 Miles. A rental car company charges $153 for the we
ch4aika [34]
No, she cannot afford the car. 
The total would be $176, and she only has $160.

Hope this helps!!
~Kiwi
6 0
3 years ago
Read 2 more answers
Help me! What is the surface area of the triangular prism shaped toy car ramp shown?
dalvyx [7]

Answer:

TRY 416in²

Step-by-step explanation:

front:

8×17=136÷2=68

same for the back

back = 68

side 1=

7×15=105

side 2=

8×7=56

bottom=

17×7=119

68+68+105+56+119=416

8 0
2 years ago
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